Humke, Paul D. A criterion for the nonporosity of a general Cantor set. (English) Zbl 0723.26002 Proc. Am. Math. Soc. 111, No. 2, 365-372 (1991). The author considers (under some assumptions) the relationship between the \(\sigma\)-porosity and porosity of a general Cantor set. Reviewer: R.Pawlak (Łódź) Cited in 1 ReviewCited in 4 Documents MSC: 26A03 Foundations: limits and generalizations, elementary topology of the line Keywords:centered family; \(\sigma \) -porosity; Cantor set PDFBibTeX XMLCite \textit{P. D. Humke}, Proc. Am. Math. Soc. 111, No. 2, 365--372 (1991; Zbl 0723.26002) Full Text: DOI References: [1] E. P. Dolženko, Boundary properties of arbitrary functions, Izv. Akad. Nauk SSSR Ser. Mat. 31 (1967), 3 – 14 (Russian). [2] P. D. Humke and B. S. Thomson, A porosity characterization of symmetric perfect sets, Classical real analysis (Madison, Wis., 1982) Contemp. Math., vol. 42, Amer. Math. Soc., Providence, RI, 1985, pp. 81 – 85. · doi:10.1090/conm/042/807980 [3] B. S. Thomson, Derivation bases on the real line. I, Real Anal. Exchange 8 (1982/83), no. 1, 67 – 207. B. S. Thomson, Derivation bases on the real line. II, Real Anal. Exchange 8 (1982/83), no. 2, 278 – 442. · Zbl 0525.26002 [4] Brian S. Thomson, Real functions, Lecture Notes in Mathematics, vol. 1170, Springer-Verlag, Berlin, 1985. · Zbl 0581.26001 [5] Luděk Zajíček, Sets of \?-porosity and sets of \?-porosity (\?), Časopis Pěst. Mat. 101 (1976), no. 4, 350 – 359 (English, with Loose Russian summary). · Zbl 0341.30026 [6] L. Zajíček, Porosity and \?-porosity, Real Anal. Exchange 13 (1987/88), no. 2, 314 – 350. · Zbl 0666.26003 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.